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math.GT2012★ 8 cited
On Higher Graph Manifolds
Chris Connell, Pablo Suárez-Serrato
In this short note we introduce higher graph manifolds and use a version of the barycenter technique to characterize when they undergo volume collapse. In the case when the pure pi…
math.GT2006★ 17 cited
Minimal entropy and geometric decompositions in dimension four
Pablo Suárez-Serrato
We show vanishing results about the infimum of the topological entropy of the geodesic flow of homogeneous smooth four manifolds. We prove that any closed oriented geometric four m…